Nov2017 cs Q49

0. Negation of the proposition ∃ x H(x) is:
(1) ∃x ¬ H(x)
(2) ∀x ¬ H(x)
(3) ∀x H(x)
(4) ¬ x H(x)

  • Option : B
  • Explanation :
    ince logic says that there exist some x for which H(x) is true, So the negation for this will be for all x H(x) is not true. We can write it:
    ¬∃xH(x) =∀x¬H(x)
    So, option (B) is correct.
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